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# If y + 40x + 2 = 0, what is the value of xy?

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Intern
Joined: 06 Oct 2012
Posts: 7

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If y + 40x + 2 = 0, what is the value of xy? [#permalink]

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06 Sep 2017, 09:26
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Difficulty:

35% (medium)

Question Stats:

81% (01:09) correct 19% (01:03) wrong based on 27 sessions

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If y + 40x + 2 = 0, what is the value of xy?

(1) 16x = –4y + 28

(2) 13y = 91 – 52x
[Reveal] Spoiler: OA

Last edited by Bunuel on 06 Sep 2017, 09:31, edited 2 times in total.

Kudos [?]: 6 [0], given: 0

Intern
Joined: 06 Oct 2012
Posts: 7

Kudos [?]: 6 [0], given: 0

Re: If y + 40x + 2 = 0, what is the value of xy? [#permalink]

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06 Sep 2017, 09:50
Since both the equations are simplified to form:

4x+y =7

How do we get xy in this case?

Kudos [?]: 6 [0], given: 0

Intern
Joined: 18 Apr 2016
Posts: 40

Kudos [?]: 5 [0], given: 12

Location: India
GMAT 1: 510 Q46 V17
WE: Web Development (Energy and Utilities)
Re: If y + 40x + 2 = 0, what is the value of xy? [#permalink]

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06 Sep 2017, 10:05
1. We have two equation. Sufficient to find x and y values

Eliminate BCE

2. We have two equation. Sufficient to find x and y values

Hence, its D

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Kudos [?]: 5 [0], given: 12

Intern
Joined: 19 Sep 2016
Posts: 35

Kudos [?]: 2 [0], given: 3

Re: If y + 40x + 2 = 0, what is the value of xy? [#permalink]

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06 Sep 2017, 10:47
Statement 1 - solving the two equations x=-1/4 & y=8 hence xy=-2
Statement 2 - since it the same line hence the values of x & y will be the same as from statement 1. Hence answer is D

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Kudos [?]: 2 [0], given: 3

Director
Joined: 04 Dec 2015
Posts: 696

Kudos [?]: 316 [0], given: 261

Location: India
Concentration: Technology, Strategy
Schools: ISB '19, IIMA , IIMB, XLRI
WE: Information Technology (Consulting)
Re: If y + 40x + 2 = 0, what is the value of xy? [#permalink]

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07 Sep 2017, 07:08
dheerajkaushik90 wrote:
If y + 40x + 2 = 0, what is the value of xy?

(1) 16x = –4y + 28

(2) 13y = 91 – 52x

$$y + 40x + 2 = 0$$ --------- (i)

(1) $$16x = –4y + 28$$

$$4x = -y + 7$$

$$y + 4x = 7$$ -------- (ii)

Subtracting (i) and (ii) we can find the value of $$x$$ and $$y$$. Hence we can find the value of $$xy$$.

Hence I is Sufficient.

(2) $$13y = 91 – 52x$$

$$y = 7 - 4x$$

$$y + 4x = 7$$ ---------- (iii)

Subtracting (i) and (iii) we can find the value of $$x$$ and $$y$$. Hence we can find the value of $$xy$$.

Hence II is Sufficient.

Kudos [?]: 316 [0], given: 261

Intern
Joined: 19 Sep 2016
Posts: 35

Kudos [?]: 2 [0], given: 3

Re: If y + 40x + 2 = 0, what is the value of xy? [#permalink]

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07 Sep 2017, 08:21
What is the OA for the question

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Re: If y + 40x + 2 = 0, what is the value of xy?   [#permalink] 07 Sep 2017, 08:21
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